About the Authors

Rhonald C Lua

Affiliation Department of Physics, University of Minnesota, Minneapolis, Minnesota, United States of America

Alexander Y Grosberg

To whom correspondence should be addressed. E-mail: grosberg@physics.umn.edu

Affiliation Department of Physics, University of Minnesota, Minneapolis, Minnesota, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

AYG formulated the problem. RCL and AYG designed the computations. RCL performed the actual programming and computations. RCL and AYG analyzed the data. RCL and AYG wrote the paper.